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Combinatorics & Optimization
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext 33038
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Dominic Welsh is a leading contributor to combinatorial mathematics in several ways. In research, his significant contributions began with his doctoral thesis, "On stochastic processes, with special reference to percolation theory". This was a basis for much further work, including the Russo-Seymour-Welsh theorem. He has made significant contributions to matroid theory, including a text with that title, which held centre stage in that discipline for fifteen years, until the spotlight shifted to a text by one of his former research students - James Oxley. Another significant paper describes how unavoidably complex it is to calculate Tutte polynomials for graphs, and Jones polynomials for knots. These are samples: in all, there are over eighty research articles, seven textbooks, thirty research students.
Combinatorics & Optimization
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext 33038
PDF files require Adobe Acrobat Reader.
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within our Office of Indigenous Relations.